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Simplifying 4z + 9 = 2x + -6 Reorder the terms: 9 + 4z = 2x + -6 Reorder the terms: 9 + 4z = -6 + 2x Solving 9 + 4z = -6 + 2x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4z = -6 + -9 + 2x Combine like terms: 9 + -9 = 0 0 + 4z = -6 + -9 + 2x 4z = -6 + -9 + 2x Combine like terms: -6 + -9 = -15 4z = -15 + 2x Divide each side by '4'. z = -3.75 + 0.5x Simplifying z = -3.75 + 0.5x
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